The study reported here was conceptualised using a theoretical framework that included three dimensions of engagement; emotional, behavioural, and cognitive, and these were used to structure the data collection and analysis vis-à-vis learning mathematics outdoors. This comparative case study involved 34 students from two Year 6 classes at a…

This paper reports a study that explored 11 to 12-year-olds' conceptions of the terms 'volume', 'capacity' and 'interior volume'. Semi-structured interviews, supported by the use of measurement resources, were used to gain insight into their thinking. Video-recordings of the interviews allowed analysis of dialogue, actions with the materials and…

The aim of this research was to explore 11 to 12-year-old children's understanding of the mass of objects made from different materials, and the measurement of this attribute. In depth task-based interviews were conducted with six children attending six different schools; five were in Year 6 and one in Year 7. The children were found to hold…

The purpose of this study was to explore the factorial structure of motivation and perception items from a student survey utilised as part of the Reframing Mathematical Futures II (RMFII) Project. Data was collected in 2017 from 442 students in Years 7 to 10 from various different States across Australia. An exploratory factor analysis identified…

National testing and reform agendas, with their focus on school improvement, has led to increased collection and scrutiny of student data. The analysis of these data usually occurs at a school level, often by school leaders. What is less common is the opportunity for students to scrutinise their individual data and take ownership over the results…

Visual and analytic strategies are features of students' schemes for spatial tasks. The strategies used by six students to anticipate the folding of nets were investigated. Evidence suggested that visual and analytic strategies were strongly connected in competent performance.

Despite mathematical reasoning being a proficiency included in mathematics curricula around the world, research has found that primary teachers struggle to understand, teach, and assess mathematical reasoning. A detailed rubric involving the three reasoning actions of analysing, generalising and justifying at five proficiency levels was refined…

This study investigated the implementation of a primary mathematics initiative in an Australian Indigenous community school designed to improve students' mathematical proficiency. Throughout the 7-month initiative, four classes ranging from Year 2 to Year 6 participated in the initiative. Findings indicated an increase in mathematics achievement…

In this study, we investigated students' thinking about the use of letters in algebra. Responses from over 1,400 Australian secondary school students to a set of three algebra items were analysed to determine the prevalence of the "letter as object" misconception. We estimate that 50% to 80% of Year 7 students bring this misconception to…

Building on recent research into the importance of positive teacher emotions for student learning experiences, the current study involved five upper primary teachers at a Victorian government school developing integrated mathematics units built around topic areas of personal interest or passion. Respective students (n=88) elected to participate in…

In this paper, I explore data collected from more than 300 Year 5 and 6 students in four government primary schools in urban Darwin. Students were asked to respond to real-world problem contexts involving fundraising as an example of an enterprise activity. The findings reveal that familiarity with the problem context, personal values, and…

There is growing consensus that the process of planning mathematics lessons is as complex as teaching them, yet there is limited research on this. This paper reports on one aspect of a project examining issues in primary teachers' mathematics planning. The results, taken from a questionnaire completed by 62 primary teachers, indicate that when…

Studies, such as Programme for International Student Assessment 2012, indicate that there are gender based differences in measures of mathematics anxiety, self-concept and self-efficacy among students. In this study we explore self-efficacy, self-concept and mathematics anxiety in a sample of Year 7 and 8 South Australian students to examine if…

Highly capable mathematics students are not usually considered strugglers. This paper reports on a case study of a Year 6 student, Debbie, her response to a lesson, and her learning involving a challenging mathematical task. Debbie, usually a highly capable student, struggled to complete a challenging mathematical task by herself, but as the…

This study explored the potential of a rich assessment task to reveal students' multiplicative thinking in respect to a hypothetical learning trajectory. Thirty pairs of students in grades 5 and 6 attempted the task. Twenty-two pairs applied multiplicative structure to find the number of items in arrays. However counting and computational errors…